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Finding the Fourth Proportional to 25,472.57, 35,156.30 and 14,145.71

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Solution

The fourth proportional to 25,472.57, 35,156.30 and 14,145.71 is: 19,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.57 : 35,156.30 = 14,145.71 : x
  2. Step 2: Convert to fraction form
    25,472.57/35,156.30 = 14,145.71/x
  3. Step 3: Cross multiply
    25,472.57x = 35,156.30 × 14,145.71
  4. Step 4: Simplify right side
    25,472.57x = 497,310,577.96
  5. Step 5: Solve for x
    x = 497,310,577.96/25,472.57
  6. Step 6: Final answer
    x = 19,523.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.